2. Using the tire manufacturer from problem No. 1, the manufacturer claims that the mean lifetime mileage for this particular brand of tires is 60,000 miles. A consumer group believes the mean lifetime mileage is less than 60,000 miles. A. Is there sufficient evidence to support the manufacturer's claim of a mean of 60,000 miles? Carry out an appropriate test at a 5% significance level. (20 points) NOTE: It is not necessary to verify conditions. B. Would your conclusion be any different if the test were carried out at a 1% significance level? Explain. (4 points) C. Explain, in words, what would constitute a type I error in the context of the problem. (4 points)